PI Controller Analytical solution

I have the transfer function: V(s)=e(s)*G*(1+K/s)

where e(s) = e0 + y(s) , G and K is a constant gains, e0 is a reference value and s is the laplace operator.

What is the appropriate analytical solution for the respose V(t) and the corresponding MATLAB implementation?

Answer 1

[Pratyush Roy]

Hi Filippos,

The function ilaplace can be used to obtain the analytical response for V(t). The following code snippet might be helpful:

syms G K e0 s V(s) y(s)  
e(s) = e0 + y(s);
V(s) = G*e(s)*(1+K/s);
ilaplace(V(s))

Hope this helps!